type 7 finding sum difference product based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16 [SSC CHSL 2012]

The total number of students in a school was 660. The ratio between boys and girls was 13 : 9. After some days, 30 girls joined the school and some boys left the school and new ratio between boys and girls became 6 : 5. The number of boys who left the school is :

a) 30

b) 60

c) 40

d) 50

Answer: (a)

In the first case,

Boys = $660 × 13/22$ = 390

Girls = $660 × 9/22$ = 270

If x boys leave the school, then

${390 - x}/{270 + 30} = 6/5$

390 - x = 360

x = 390 - 360 = 30

Question : 17 [SSC CPO S.I.2006]

The ratio of the number of ladies to that of gents at a party was 3 : 2. When 20 more gents joined the party, the ratio was reversed. The number of ladies present at the party was

a) 24

b) 16

c) 32

d) 36

Answer: (a)

Let the number of ladies and gents be 3x and 2x respectively.

According to the question,

${3x}/{2x + 20} = 2/3$

9x = 4x + 40

5x = 40 ⇒ x = 8

Number of ladies = 3x

= 3 × 8 = 24

Question : 18 [SSC CGL Tier-I 2013]

Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:

a) 1, 2, 3

b) 5, 10, 15

c) 15, 30, 45

d) 10, 20, 30

Answer: (b)

Numbers = x, 2x and 3x

${x + 5}/{2x + 5}= 2/3$

4x + 10 = 3x + 15

x = 5

Numbers = 5, 10 and 15

Question : 19 [SSC CGL Prelim 2002]

The students in three classes are in the ratio 2 : 3 : 5. If 40 students are increased in each class, the ratio changes to 4 : 5 : 7. Originally, the total number of students was :

a) 200

b) 400

c) 180

d) 100

Answer: (a)

Let the number of students in three classes be 2x, 3x and 5x respectively.

Due to increase of 40 students in each class,

we have ${2x + 40}/{3x + 40} = 4/5$

10x + 200 = 12x + 160

2x = 200 - 160

2x = 40 ⇒ x = 20

Original strength

= 10x = 10 × 20 = 200

Question : 20 [SSC CGL Tier-I 2010]

What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4 ?

a) 6.5

b) 5

c) 7.5

d) 8

Answer: (b)

Let the required number be x.

${7 + x}/{11 + x} = 3/4$

28 + 4x = 33 + 3x

x = 33 - 28 = 5

IMPORTANT quantitative aptitude EXERCISES

type 7 finding sum difference product based ratio & proportion problems Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

Classification Reasoning MCQ For IBPS Clerk Prelims 2024

Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024

03-May-2024 by Careericons

Continue Reading »

Ratio and Proportion Questions with Solutions, IBPS Clerk

New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam

02-May-2024 by Careericons

Continue Reading »

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »

SSC STENO: Mensuration Area & Volume Questions Test PDF

Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam

30-Apr-2024 by Careericons

Continue Reading »